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Random ideal triangulations and the Weil-Petersson distance between finite degree covers of punctured Riemann surfaces

Kahn, Jeremy and Markovic, Vladimir (2008) Random ideal triangulations and the Weil-Petersson distance between finite degree covers of punctured Riemann surfaces. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170509-063604347

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Abstract

Let S and R be two hyperbolic finite area surfaces with cusps. We show that for every є > 0 there are finite degree unbranched covers Sє → S and Rє → R, such that the Weil-Petersson distance between Sє and Rє is less than є in the corresponding Moduli space.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/0806.2304arXivDiscussion paper
Additional Information:(Submitted on 13 Jun 2008)
Classification Code:MSC: Primary 20H10
Record Number:CaltechAUTHORS:20170509-063604347
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170509-063604347
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77279
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 May 2017 20:07
Last Modified:16 May 2017 20:07

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